Question

Tonya wanted to estimate the average amount of time that students at her school spend on Facebook each day. She gets an alphabetical roster of students in the school from the registrar’s office and numbers the students from 1 to 1137. Then Tonya uses a random number generator to pick 30 distinct labels from 1 to 1137. She surveys those 30 students about their Facebook use. Tonya’s sample is a simple random sample because

a. it was selected using a chance process.

b. it gave every individual the same chance to be selected.

c. it gave every possible sample of size 30 an equal chance to be selected.

d. it doesn’t involve strata or clusters.

e. it is guaranteed to be representative of the population.

Short answer

The correct option is:

b. it gave every individual the same chance to be selected.

Step-by-step solution

Given information

We have been given four options from which we have to select the correct one.

a. it was selected using a chance process.

b. it gave every individual the same chance to be selected.

c. it gave every possible sample of size 30 an equal chance to be selected.

d. it doesn’t involve strata or clusters.

e. it is guaranteed to be representative of the population.

Explanation

• Because she was chosen at random, everyone has a possibility of getting chosen.
• It gave every individual the same chance to be selected.